| Article ID: | iaor20112362 |
| Volume: | 70 |
| Issue: | 4 |
| Start Page Number: | 501 |
| End Page Number: | 509 |
| Publication Date: | Apr 2011 |
| Journal: | Theory and Decision |
| Authors: | Houy Nicolas |
| Keywords: | choice models |
We give some characterizations for both the untrapped set and the top cycle choice functions. We link these characterizations with the well‐known characterization of the maximal elements choice function. Our characterizations strongly rely on the notion of ‘two‐tier domination’.